Results 21 to 30 of about 71,208 (194)

D-Branes and their Absorptivity in Born-Infeld Theory [PDF]

, 2000
Standard methods of nonlinear dynamics are used to investigate the stability of particles, branes and D-branes of abelian Born-Infeld theory. In particular the equation of small fluctuations about the D-brane is derived and converted into a modified ...
Aganagic, Aly, Aly, Aly, Bak, Bertocchi, Brecher, Byrd, Calan, Calan, Callan, Chernitskii, Chruscinski, Cvetic, Cvetic, Cvetic, D.K. Park, Dingle, Dingle, Esposito, Gibbons, Gibbons, Giddings, Goddard, Gonorazky, Gubser, Gubser, Gubser, H.J.W. Müller-Kirsten, Handelsman, Hashimoto, Jian-zu Zhang, Klebanov, Klebanov, Klebanov, Langer, Lee, Limic, Manvelyan, Meixner, Meixner, Müller-Kirsten, Paliov, Park, Polchinski, S.N. Tamaryan, Savvidy, Savvidy, Spector, Tiktopoulos, Tseytlin, Wannier   +51 more
core   +2 more sources

A Semi-Analytical Solution for the Thickness-Vibration of Centrally Partially-Electroded Circular AT-Cut Quartz Resonators

Sensors, 2017
Vibration frequencies and modes for the thickness-shear vibrations of infinite partially-electroded circular AT-cut quartz plates are obtained by solving the two-dimensional (2D) scalar differential equation derived by Tiersten and Smythe.
Bin Wang, Xiaoyun Dai, Xintao Zhao, Zhenghua Qian   +3 more
doaj   +1 more source

The damped Mathieu equation [PDF]

Quarterly of Applied Mathematics, 1993
We establish an asymptotic lower bound for the minimum excitation needed to cause instability for the damped Mathieu equation. The methods used are Floquet theory and Liapunov-Schmidt, and we use a fact about the width of the instability interval for the undamped Mathieu equation. Our results are compared with published numerical data.
openaire   +2 more sources

Transverse oscillation of particles in the vicinity of resonances for a cyclotron

Physical Review Accelerators and Beams, 2019
Transverse oscillation is an important issue in beam dynamics of cyclotrons and can be described by the Mathieu equation. We review the standard form of the Mathieu equation, d^{2}u/dθ^{2}+(δ+ϵ·cos2θ)u=0, and propose a modification of the method of ...
Kai Zhou, Yuntao Song, Gen Chen, Kaizhong Ding, Galina Karamysheva   +4 more
doaj   +1 more source

Stability approach for periodic delay Mathieu equation by the He- multiple-scales method

Alexandria Engineering Journal, 2018
In the present work, the version of homotopy perturbation included time-scales is applied to the governing equation of time-periodic delay Mathieu equation. Periodical structure for the amplitude of the zero-order perturbation is constructed.
Yusry O. El-Dib
doaj   +1 more source

Stability Analysis of Fractional-Order Mathieu Equation with Forced Excitation

Fractal and Fractional, 2022
The advantage of fractional-order derivative has attracted extensive attention in the field of dynamics. In this paper, we investigated the stability of the fractional-order Mathieu equation under forced excitation, which is based on a model of the ...
Ruihong Mu, Shaofang Wen, Yongjun Shen, Chundi Si   +3 more
doaj   +1 more source

On a Quantization of the Classical $\theta$-Functions [PDF]

, 2015
The Jacobi theta-functions admit a definition through the autonomous differential equations (dynamical system); not only through the famous Fourier theta-series. We study this system in the framework of Hamiltonian dynamics and find corresponding Poisson
Brezhnev, Yurii V.
core   +5 more sources

Exact solutions of Mathieu’s equation [PDF]

Progress of Theoretical and Experimental Physics, 2020
AbstractMathieu’s equation originally emerged while studying vibrations on an elliptical drumhead, so naturally, being a linear second-order ordinary differential equation with a Cosine periodic potential, it has many useful applications in theoretical and experimental physics.
openaire   +1 more source

Fractional Mathieu Equation with Two Fractional Derivatives and Some Applications

Fractal and Fractional
The importance of this research comes from the several applications of the Mathieu equation and its generalizations in many scientific fields. Two models of fractional Mathieu equations are provided using Katugampola fractional derivatives in the sense ...
Ahmed Salem, Hunida Malaikah, Naif Alsobhi   +2 more
doaj   +1 more source

Application of the sextic oscillator potential together with Mathieu and spheroidal functions for triaxial and X(5) type nuclei

EPJ Web of Conferences, 2014
The Bohr-Mottelson Hamiltonian is amended with a potential which depends on both β and γ deformation variables and which allows us to separate the β variable from the other variables.
Raduta A. A., Buganu P.
doaj   +1 more source